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On the Exponent of the ${\nk}_0$-Groups of Virtually Infinite Cyclic Groups |
Canad. Math. Bull. 45(2002), 180-195
Published:2002-06-01
Printed: Jun 2002
Printed: Jun 2002
- Francis X. Connolly
- Stratos Prassidis
Abstract
It is known that the $K$-theory of a large class of groups can be
computed from the $K$-theory of their virtually infinite cyclic
subgroups. On the other hand, Nil-groups appear to be the obstacle in
calculations involving the $K$-theory of the latter. The main
difficulty in the calculation of Nil-groups is that they are
infinitely generated when they do not vanish. We develop methods for
computing the exponent of ${\nk}_0$-groups that appear in the
calculation of the $K_0$-groups of virtually infinite cyclic groups.
| MSC Classifications: |
18F25 - Algebraic $K$-theory and $L$-theory [See also 11Exx, 11R70, 11S70, 12-XX, 13D15, 14Cxx, 16E20, 19-XX, 46L80, 57R65, 57R67] 19A31 - $K_0$ of group rings and orders |